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3 years ago

Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. What number is he thinking of?

1 answer:

4 0

It is the number 16 because it has exactly five factors which are : 1,2,4,8,16. The number 4 repeats itself, therefore it is count as one number.

Hope this helps

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A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets an

choli [55]

Answer:

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

Step-by-step explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of adult tickets sold

we know that

the theater sold 33 tickets

$x+y=33$ -----> equation A

the theater made a total of $158.50

$4.50x+9.50y=158.50$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

5 0

3 years ago

40/6 as a mixed number and in simpliest form

givi [52]

Answer is : 6 4/6
in simplest form is : 6 2/3

8 0

3 years ago

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

3 years ago

A worm walks 40cm in 8 minutes. Give both unit rates. Make sure you include the unit for each. (Total 8 points: 2 points for eac

vodka [1.7K]

40/8 = 5 cm per minute

7 0

3 years ago

Is ABC=XYZ? PLEASE HELP!!

statuscvo [17]

Yes ur correct
ABC=XYZ

Because C and Z stay the same so just flip the shape n point A is small and X is small so they go together and B and Y r pointing out they go together

6 0

3 years ago